Power matters!

Algebra Level pending

Let p(x) be a polynomial with degree 2009 and leading co-efficient unity such that p(0)=2008 ; p(1)=2007; p(2)=2006...
. p(2008)=0 and the value of p(2009)= (n!)-a
here a and n are natural numbers.
then the value of n+a is?
n ! = 1 X 2 X 3 X 4 X . . . . . n n!=1X2X3X4X.....n

2011 none of these 2009 2010

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